deTwo chords AB and CD intersect at P insithe circle. Prove that the s

1.	deTwo chords AB and CD intersect at P insithe circle. Prove that the sum of the anglessubtended by the arcs AC and BD at thecentre O is equal to twice the angle APC
Answer» Given: two chords AB and CD intersect each other at P inside the circle. OA, OB, OC and OD are joined. Proof: Arc AC subtends ∠AOCat the centre and ∠ADCat the remaining Part of the circle. angle AOC= 2<ADC-----(1)similarlyangle BOD = 2 <BAD-----(2) adding bothangle AOC + angle BOD = 2(angle ADC+ angle BAD) But in triangle PAD thnx a lot

deTwo chords AB and CD intersect at P insithe circle. Prove that the sum of the anglessubtended by the arcs AC and BD at thecentre O is equal to twice the angle APC

Answer»

Given: two chords AB and CD intersect each other at P inside the circle. OA, OB, OC and OD are joined.

Proof: Arc AC subtends ∠AOCat the centre and ∠ADCat the remaining Part of the circle.

angle AOC= 2<ADC-----(1)similarlyangle BOD = 2 <BAD-----(2)

adding bothangle AOC + angle BOD = 2(angle ADC+ angle BAD)

But in triangle PAD

thnx a lot